17/13: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
{{Infobox Interval
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| Name = septendecimal subfourth
: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-12-07 01:52:02 UTC</tt>.<br>
| Color name = 17o3u4, sothu 4th
: The original revision id was <tt>283161260</tt>.<br>
| Sound = jid_17_13_pluck_adu_dr220.mp3
: The revision comment was: <tt></tt><br>
}}
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
In [[17-limit]] [[just intonation]], '''17/13''' is the '''septendecimal subfourth''', measuring about 464.4¢. It differs from the [[4/3]] perfect fourth by the [[comma]] [[52/51]], about 33.6¢. It is the [[mediant]] between [[13/10]] and [[4/3]] and falls in the categorically-ambiguous zone between supermajor third and perfect fourth that Margo Schulter calls [[interseptimal]]. It appears in the [[harmonic series]] between the 13th and 17th harmonics.
<h4>Original Wikitext content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">In [[17-limit]] [[Just Intonation]], 17/13 is the "septendecimal sub-fourth," measuring about 464.428¢. It is the [[mediant]] between [[13_10|13/10]] and [[4_3|4/3]] and falls in the categorically-ambiguous zone between supermajor third and perfect fourth that Margo Schulter calls [[interseptimal]]. Is appears in the [[OverToneSeries|harmonic series]] between the 13th and 17th harmonics.


See: [[Gallery of Just Intervals]]</pre></div>
It is less than 0.1 cents flat of [[31edo]]'s subfourth of 464.52¢ (12\31). In fact, a circle of 31 pure 17/13's closes with an error of only 2.74c ([[relative error]] 7.1%).
<h4>Original HTML content:</h4>
 
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;17_13&lt;/title&gt;&lt;/head&gt;&lt;body&gt;In &lt;a class="wiki_link" href="/17-limit"&gt;17-limit&lt;/a&gt; &lt;a class="wiki_link" href="/Just%20Intonation"&gt;Just Intonation&lt;/a&gt;, 17/13 is the &amp;quot;septendecimal sub-fourth,&amp;quot; measuring about 464.428¢. It is the &lt;a class="wiki_link" href="/mediant"&gt;mediant&lt;/a&gt; between &lt;a class="wiki_link" href="/13_10"&gt;13/10&lt;/a&gt; and &lt;a class="wiki_link" href="/4_3"&gt;4/3&lt;/a&gt; and falls in the categorically-ambiguous zone between supermajor third and perfect fourth that Margo Schulter calls &lt;a class="wiki_link" href="/interseptimal"&gt;interseptimal&lt;/a&gt;. Is appears in the &lt;a class="wiki_link" href="/OverToneSeries"&gt;harmonic series&lt;/a&gt; between the 13th and 17th harmonics.&lt;br /&gt;
== See also ==
&lt;br /&gt;
* [[26/17]] – its [[octave complement]]
See: &lt;a class="wiki_link" href="/Gallery%20of%20Just%20Intervals"&gt;Gallery of Just Intervals&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
* [[Gallery of just intervals]]
 
[[Category:Fourth]]
[[Category:Subfourth]]
[[Category:Interseptimal intervals]]
[[Category:Naiadic]]
[[Category:Taxicab-2 intervals]]